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Finding the Fourth Proportional to 513,792.92, 709,024.05 and 284,336.87

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Solution

The fourth proportional to 513,792.92, 709,024.05 and 284,336.87 is: 392,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,792.92 : 709,024.05 = 284,336.87 : x
  2. Step 2: Convert to fraction form
    513,792.92/709,024.05 = 284,336.87/x
  3. Step 3: Cross multiply
    513,792.92x = 709,024.05 × 284,336.87
  4. Step 4: Simplify right side
    513,792.92x = 201,601,675,586.60
  5. Step 5: Solve for x
    x = 201,601,675,586.60/513,792.92
  6. Step 6: Final answer
    x = 392,379.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.